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5639920 = 24511131729
BaseRepresentation
bin10101100000111011110000
3101121112111221
4111200323300
52420434140
6320514424
765636626
oct25407360
911545457
105639920
1132023a0
121a7ba14
131226140
14a6b516
1576614a
hex560ef0

5639920 has 160 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1720320.

The previous prime is 5639867. The next prime is 5639927. The reversal of 5639920 is 299365.

5639920 = T121 + T122 + ... + T328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5639927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194466 + ... + 194494.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

Almost surely, 25639920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5639920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5639920 is an abundant number, since it is smaller than the sum of its proper divisors (11234000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5639920 is a wasteful number, since it uses less digits than its factorization.

5639920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 5639920 is about 2374.8515743094. The cubic root of 5639920 is about 178.0017674361.

The spelling of 5639920 in words is "five million, six hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 17 20 22 26 29 34 40 44 52 55 58 65 68 80 85 88 104 110 116 130 136 143 145 170 176 187 208 220 221 232 260 272 286 290 319 340 374 377 440 442 464 493 520 572 580 638 680 715 748 754 880 884 935 986 1040 1105 1144 1160 1276 1360 1430 1496 1508 1595 1768 1870 1885 1972 2210 2288 2320 2431 2465 2552 2860 2992 3016 3190 3536 3740 3770 3944 4147 4420 4862 4930 5104 5423 5720 6032 6380 6409 7480 7540 7888 8294 8840 9724 9860 10846 11440 12155 12760 12818 14960 15080 16588 17680 19448 19720 20735 21692 24310 25520 25636 27115 30160 32045 33176 38896 39440 41470 43384 48620 51272 54230 64090 66352 70499 82940 86768 97240 102544 108460 128180 140998 165880 194480 216920 256360 281996 331760 352495 433840 512720 563992 704990 1127984 1409980 2819960 5639920